Answers
Explanation:
If x > 2, then x-2 > 0 after subtracting 2 from both sides.
Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.
For example, if we tried something like x = 5, then
x-2 = 5-2 = 3|x-2| = |5-2| = |3| = 3Both outcomes are 3. I'll let you try other x inputs.
So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.
In short, we just erase the absolute value bars.
Related Questions
What is the area of a picture of a silent that are 12 inches? Use The formula A=s^2, where is the length of one side
Answers
Answer:
144 in²
Step-by-step explanation:
Area of square: [tex]s^2[/tex]
Here s is 12 inches.
Using the formula:
area: [tex]s^2[/tex]
area: 12²
area: 12 * 12
→ 144 in²
The formula to find area of square is:
[tex] \tt \: area = {s}^{2} [/tex]
Where,
s is sideIn our case,
s = 12 inchesSo,
[tex] \sf \: area = {12}^{2} [/tex]
[tex] \boxed{ \bf \: area = 144 \: {in}^{2}}[/tex]
Using Postulates and/or Theorems, determine whether ABC~AXY.
explain why the triangles are similar or why they are not.
Answers
Answer:
They are not similar
Step-by-step explanation:
To see whether the triangles are similar or not we can compare their side lengths:
AB = 24
AX = 6
AX/AB = 1/4 is the ratio now let's compare this to AY/AC
AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.
7. Arrival of the Normandy Train
Claude is waiting to meet the train from Normandy at Gare Saint-Lazare in Paris. He
tells Marie the hour of the train's arrival and he tells Jean at which minute it arrives. He
also tells them both that the train arrives between 0600 and 1000.
They consult the timetable and find the following services between those times:
0620, 0639, 0650; 0717, 0746; 0825, 0839; 0917, 0925, 0950.
Marie then says, “I don't know when Claude's train arrives, but I'm sure that neither does
Jean."
Jean replies, “I didn't know his train, but now I do."
Marie responds, “Now I do as well!"
When is Claude's train and how do you know?
Answers
Answer:
The train is 0839
Step-by-step explanation:
First off, 0620 and 0746 are not available options, as Jean would've immediately know, as they're the only one with non-repeated minutes.
Now, when Marie says "I'm sure neither does Jean", it means she didn't get 06 or 07, as those are the number that has 0620 and 0746, which then she cannot ensure that Jean doesn't know the train arrival.
We're left with 0825, 0839, 0917, 0925 and 0950
After that, Jean said he knows the train number. So, he couldnt've gotten 25, as it is repeated in the 5 options we pick. => we're left with 0839, 0917 and 0950.
And then, Marie responds now she does as well, which it cannot be 09, as it is repeated.
So, the train number is 0839.
Simplify 6 x − x + 5 y − 2 y
Answers
Answer:
Add and subtract similar variables
Step-by-step explanation:
(6x-x) + 5y - 2y
5x + (5y-2y)
=5x + 3y
Answer: 5x + 3y
Step-by-step explanation: You want to work with m variables that are the same so any item with an x is grouped together so 6x - x = 5x and the ys are grouped together 5y - 2y = 3y so your final answer would be 5x+3y
Which equation matches the graph of the greatest integer function given below?
A. y= [x] + 3
B. y= [x] -3
C. y= [x] +2
D y= [x] -2
Answers
Answer:
D y= [x] -2
Step-by-step explanation:
The "floor" or "greatest integer" function graphs as a step function with a solid dot at the left end of each step. The point (0, 0) is one of those solid dots. When 2 is subtracted from the function value, the graph is shifted down 2 units so that it looks like the one given.
The given graph is of the equation ...
[tex]\boxed{y=\lfloor x\rfloor -2}[/tex]
_____
Additional comment
The ceiling function ...
[tex]y=\lceil x\rceil[/tex]
graphs as a step function with a solid dot at the right end of each step. There is a solid dot at (0, 0) for this function, as well.
Note that the function symbols have "hooks" above or below the argument to indicate ceiling or floor (respectively). The use of a square bracket [ ] for either of these functions would need to be accompanied by an explanation of the intended meaning. By itself, a square bracket has "hooks" both at the top and bottom, so does not represent either function unambiguously.
what is the rule for this table?
Answers
+6 input
+2 output
Answer pls
Who knows the answer
Answers
Answer:
(i) (b) RC
(ii) (d) 1/4 ar(ΔABC)
(iii) (b) 39 cm
(iv) (a) 90°
Step-by-step explanation:
(i) (b) RC
(ii) (d) 1/4 ar(ΔABC)
(iii) (b) 39 cm
(iv) (a) 90°
Ahmed sells different types of cake in his shop.
The cost of each cake depends on its type and its size.
Every small cake costs $x and every large cake costs $(2x + 1).
The number of small cherry cakes that can be bought for $4 is the same as the number of large
cherry cakes that can be bought for $13.
Find the cost of a small cherry cake.
Answers
Answer:
$0.80
Step-by-step explanation:
Let y be the number of cakes that can be bought then...
xy=4
y(2x+1)=13
Distribute the y to each term in the parentheses...
y(2x)+y(1)=13
2xy+y=13
xy=4
Multiply the second equation by 2...
2xy+y=13
2xy=8
Solve the equation using elimination (subtract the two equations and eliminate 2xy)...
y=13-8=5
Now, plug 5 back in for y to solve for x...
xy=4
5x=4
Divide both sides by 5
x=$0.80
Please answer!! I’m stuck
Answers
Answer:
B. $3
Step-by-step explanation:
A single 6-pound package is approximately $5 shipping fee.
A 2-pound package is approximately $3.50 shipping fee.
A 4-pound package is approximately $4.50 shipping fee.
The question stated, "What is the approximate difference (this means we are most likely subtracting) in cost of shipping a 2-pound and a 4 pound package(the and means we are adding both 4-pound and 2-pound together) opposed to a single 6-pound package?"
As calculated above, we should add the 2-pound package and the 4-pound package together.
3.5 + 4.5 = 8
One single 6-pound package is $5, so we need to subtract the 8 with the 5.
8 - 5 = 3
Please need help with number 9 and 10!! With solution needed please!!
Answers
Answer:
9. m = 710. z = (-12)Step-by-step explanation:
9.[tex]8(m + 3) = 5(m + 9) \\ 8m + 24 = 5m + 45 \\ 8m - 5m = 45 - 24 \\ 3m = 21 \\ \frac{3m}{3} = \frac{21}{3} \\ m = 7 \\ [/tex]
10.[tex] \frac{z - 6}{2z} = \frac{3}{4} \\ 4(z - 6) = 3(2z) \\ 4z - 24 = 6z \\ - 24 = 6z - 4z \\ - 24 = 2z \\ \frac{ - 24}{2} = \frac{2z}{2} \\ ( - 12) = z \\ [/tex]
In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft.
Answers
Answer: 334
Step-by-step explanation: so basically, I just looked up the answer 2 this and got this question and saw no 1 answered it so I got it wrong for u
please give brainliest I got a low score for u
also
if you do k12 this is the answers to the whole test
1. 334
2. 192
3. 1259
4. 72
5. 8
Answer:
258
Step-by-step explanation:
18x21=378
18-8=10
10x20=120
378-120=258
To estimate the proportion of city residents who shop online, a researcher visits a mall on a weekday morning and
asks people she encounters to share their experiences with online shopping, including this question: "Do you shop
online at least once each week?" The results show that 32% of shoppers shop online at least once per week. Which
of these describes a likely source of bias present in the survey results?
O Response bias may be present because people may not be truthful with their responses.
O Question wording bias may be present because the question asked may exclude important information
O Nonresponse bias may be present because people in a mall may not want to answer questions.
O Undercoverage bias may be present because people in the workforce and many younger people could be
excluded
Answers
Answer:
Undercoverage bias may be present because people in the workforce and many younger people could be excluded.
Step-by-step explanation:
Select all equations that are equivalent to x2 + 6x= 16.
A) x2 + 6x +9=0
B C2 + 6x +9 = 16
C. x2 + 6x +9= 25
D. (a + 3)2 = 0
E, (x + 3)2 = 16
F. (x + 3)2 25
Answers
Answer:
(b) c2+6x+9=16
(e) (x+)2=16
Step-by-step explanation:
Sum of the digits of a 2-digit number is 9. When the digits are reversed, it is found that the resulting number is smaller then the original number by 63. Find the number.
Answers
Answer:
81
Step-by-step explanation:
the sum of adding 81 is 9, reversed 81 is 18 and 81 - 18= 63
Answer: ans is 36
y-step explanation:
A triangle has vertices at L(-7,0), M(2,1), and N(-3,5). Verify that is it a right isosceles triangle.
Please help me with this problem QUICK.
Answers
Thank you for helping!!
Answers
Answer:
$324.80
Step-by-step explanation:
16*7= the area so
16*7=112
112sq yards
112*2.90=324.80
Ben plants 6 rows of roses, with the same number of roses in each row.
Answers
Answer/Step-by-step explanation:
r are roses,
r + 6
Ben plants 6r
[RevyBreeze]
Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each, how many of each did he buy?
Answers
n + c = 15
4.5n + 12c = 135
c = 15 - n
12c = 180 - 12n
180 - 12n + 4.5n = 135
-7.5n = - 45
15n = 90
notebook = 6
6 + c = 15
calculator = 9
I have to turn this in by tonight
Answers
Answer:
x = -11
Step-by-step explanation:
Convert fraction into negative exponential form: [tex](36^-^1)^x^-^4=(216^-^1)^x^+^1\\[/tex]
Simplify using exponent power rule: [tex](a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1[/tex]
Convert both sides of the equation into terms with same base:[tex](6^2)^-^x^+^4=(6^3)^-^x^-^1[/tex]
Simplify using exponent power rule:
[tex](a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3[/tex]
Based on the given conditions, corresponding exponents are equal:
[tex]-2x=8=-3x-3[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]-2x+3x=-3-8[/tex]
Combine like terms: [tex]x=-3-8[/tex]
Calculate the sum or difference: [tex]x = -11[/tex]
Thurs, x = -11
[RevyBreeze]
Does anyone mind helping?
Answers
x = 7 OR x = -3
I hope this helped
What is the factored form of the expression x2 − 81
Answers
Answer:
(x + 9)(x - 9)
Step-by-step explanation:
Apply the Difference of Two Squares formula: x² - y² = (x + y)(x - y)
Rewrite 81 at 9²
⇒ x² - 81 = x² - 9² = (x + 9)(x - 9)
Answer:
[tex]\left(x+9\right)\left(x-9\right)[/tex]
Step-by-step explanation:
[tex]x^2 - 81[/tex]
factor 81 as 9²
[tex]x^2-9^2[/tex]
using formula: a² -b² = (a+b)(a-b)
[tex]\left(x+9\right)\left(x-9\right)[/tex]
PLEASE HELP GIVING BRAINLIEST 50 POINTS
Answers
Answer:
Data set is second attached diagram
Step-by-step explanation:
1. See attached diagram for line plot
To graph data on a line plot, we put a dot (or an X) above each number in the data set. If a number appears twice in the data, we put two dots above that number.
2. Largest amount of snow is the largest value = [tex]3 \frac34[/tex] in
3. Least amount of snow is the smallest value = [tex]1 \frac34[/tex] in
4. 2 days as there are 2 values of [tex]3 \frac14[/tex] in
5. If the difference between the largest and smallest value is now 3, and the smallest value is [tex]1 \frac34[/tex] in then the new piece of data is:
[tex]1 \frac34 + 3=4 \frac34[/tex] in
Easy Question! Find the number that should be added to the expression to create a perfect square trinomial: x^2 − 8x
A) -64
B) -16
C) 16
D) 64
Answers
Answer: The answer is C
Step-by-step explanation:
Well, an example of a perfect square trinomial would look like is:
[tex]a^2-2ab+b^2[/tex] or [tex]a^2+2ab+b^2[/tex]
So since we already know what [tex]a^2[/tex] is and what [tex]2ab[/tex] is we just have to find [tex]b^2[/tex]
However, we would use the [tex]a^2-2ab+b^2[/tex] formula to solve this since we have a subtraction sign
Answer:
C
Step-by-step explanation:
16
Dalia purchased a T.V. on sale for 15% less than the original price. If the original price was $200 how much money did Dalia save?
Answers
200x85% =£170
So she saved £30
PLEASE ANSWER ILL GIVR BRAINLIEST 50 POINTS
Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
Answer:
vertex = (6, -9)
point = (0, 27)
see attached diagram for graph
Step-by-step explanation:
[tex]f(x)=x^2-12x+27[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Rewrite function in vertex form:
[tex]\implies f(x)=(x-6)^2-36+27[/tex]
[tex]\implies f(x)=(x-6)^2-9[/tex]
Therefore, vertex = (6, -9)
As the coefficient of [tex]x^2[/tex] is positive, the parabola will open upwards (u shaped).
Point to plot:
f(0) = 27
Therefore, point = (0, 27)
-10(2x+1/5) in standard form
Answers
Answer:
-20x-2
Step-by-step explanation:
A cylinder with a base diameter of x units has a volume
of cx cubic units.
Which statements about the cylinder are true? Select
two options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is xx2 square units.
The area of the cylinder's base is
rxsquare units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Mark this and return
Save and Exit
Submit
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Answers
Answer:
use symbolab
Step-by-step explanation:
the interior angles of a pentagon are 100°,×°,(3×+30)°,(2×-10)°,and 80°. Find ×
Answers
Step-by-step explanation:
Sum of the interior angles of a Pentagon = 540
Therefore, 100+x+(3x+30)+(2x-10)+80=540
100+x+3x+30+2x-10+80=540
Group like terms
x+3x+2x=540-100-30+10-80
6x=340
6x=340
6 6
x=56.6
In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC: DC = 4:1 Find the length of DC algebraically. Show your work below.
Answers
Applying the altitude theorem and solving algebraically, the length of DC is: 6.
What is the Altitude Theorem?If an altitude of a right triangle divides an opposite side into a and b, based on the altitude theorem, the height (h) of the altitude = √(ab).
Solving algebraically:
Let DC = x
Therefore:
BC = 4x
Applying the altitude theorem, we would have:
12 = √(4x × x)
12 = √(4x²)
12 = 2x
12/2 = x
6 = x
x = 6
Therefore, DC = x = 6.
Learn more about altitude theorem on:
https://brainly.com/question/10612854
50 POIINTS AND BRAINLIEST IF YOU ANSWER THESE QUESTIONS QUICK AND CORRECT PLS HURRY!!!
Answers
first one 200 and second 6
Answer:
Step-by-step explanation:
1. 1300/65=20 sales
2.2+2=4
22-4=18
18/2=9
unknown number of inch=x+3
x=9
(9)+3=11
unknown number is 11 inch.